16 A study was conducted using 49 Catholic female undergraduates at Texas A & M Univci- sity. The variables measured refer to the parents of these students. The response variable is the number of children that the parents have One of the explanatory variables is the mother's educational level. measured as the number of years of formal education For these data. 9.88.sx = 3.77. = 3.35. sy 2 19. the prediction equation is 5.40 207X. the standard error of the slope estimate is 079. and SSE = 201.95

a) Interpret the Y-intercept and slope.

b) Find the predicted numbers of children for women with (i) 8. (ii) 12. (iii) 16 years of education

e) Find the Pearson correlation and interpret its value.

d) Test the null hypothesis that mean number of children is independent of mother's ed ucational level, and report and interpret the P-value.

e) Find a 95% confidence interval for the slope of the regression equation. Interpret.

f) Construct and interpret a 95% confidence interval for the difference between the mean number of children for two sets of mothers who are eight years apart in educational level. 6) Sketch a potential scatter diagram for these variables such that the analyses you con- ducted above would be inappropriate.